
 ╔════════════════════════════════════════╗     (C) Copyright 1986-1990
 ║ MATHLS.EXE - Math Least-Square program ║           Zvi Shippony
 ╚════════════════════════════════════════╝          (818) 990-0134

  For options 1,2,4 - Enter any expression in the variable: X

  Expression is any legal combination of: +, -, *, /, **, !, (, )
  and any of the following functions:

   ABS, INT, EXP, SIN, COS, TAN, COT, LOG, LN, FACT or ! (Factorial)
   SQRT, SINH, COSH, TANH, ARCSIN, ARCCOS, ARCTAN, ARCSINH, ARCCOSH, ARCTANH

   And the "Special Functions" :

     Z(x)     { Riemann's Zeta function }
     G(x)     { Gamma function, (IF x is an integer then x! = G(x+1)) }
     BJ(n,x)  { Bessel Function of the  first kind, J(n,x) }
     BY(n,x)  { Bessel Function of the second kind, Y(n,x) }
     BI(n,x)  { Modified Bessel Function of the  first kind, I(n,x) }
     BK(n,x)  { Modified Bessel Function of the second kind, K(n,x) }
     SBJ(n,x) { Spherical Bessel Function of the  first kind, j(n,x) }
     SBY(n,x) { Spherical Bessel Function of the second kind, y(n,x) }

$$$


  Example (options 1,2,4): Sqrt(3.0**X+12.25)-Exp(-Sin(X+1.0))

  Example (options 1,2,4): X - Int(Tan(X)+4.123)!

 ** Note:
    PI is a reserved name and will be interpeted as Pi = 3.14159265358...

$$$

  Options 3,5:

   To Plot or to compute Least Square Fit of tabulated data points, the file
   containing the data must have the following format:

    Up to 2 Titles lines, followed by N sets, each set composed of any number
    of variables, their names and values. One Name & value per line. For
    example:

    First  Title for the data (Optional)
    Second Title for the data (Optional)
    X1, Y1(X1), Y2(X1), Y3(X1), ...
    X2, Y1(X2), Y2(X2), Y3(X2), ...
    X3, Y1(X3), Y2(X3), Y3(X3), ...
    X4, Y1(X4), Y2(X4), Y3(X4), ...
    . . . .
    . . . .
    Xn, Y1(Xn), Y2(Xn), Y3(Xn), ...

$$$

   You can plot Y1 vs. X  or:  Y2 vs. X  or: Y3 vs. X , etc.

   You can compute Least Square Fit of Y1 as a function of X or: Y2 as
   a function of X etc.


                            That's all folks ...
